Quantum Field Theory 2
| Code | Completion | Credits | Range |
|---|---|---|---|
| 02KTPA2 | Z,ZK | 8 | 4P+2C |
- Garant předmětu:
- Martin Štefaňák
- Lecturer:
- Petr Jizba
- Tutor:
- Václav Zatloukal
- Supervisor:
- Department of Physics
- Synopsis:
-
The lecture aims at introducing the students to the Feynman’s functional integral and its applications. The focus is on broadening the knowledge of modern parts of relativistic and non-relativistic quantum field theory and statistical physics. The content of the lecture can serve as a base for further study in fields of exactly solvable models, theory of critical phenomena, molecular chemistry and biochemistry or quantum gravity.
- Requirements:
- Syllabus of lectures:
-
1. First quantization with path integral
2. Second quantization and functional integral, partition sum and Wick’s theorem
3. Noether’s theorem and anomalies
4. Perturbation expansion of Green’s functions with Feynman’s diagrams – scalar field, generating functionals W
and Г
5. Grassmann’s variables and Berezin’s functional integral for fermionic fields
6. Perturbation expansion of Green’s functions with Feynman’s diagrams – fermionic fields, S-matrix and
LSZ formalism
7. Goldstone’s theorem and Higgs mechanism
8. Calibration fields and their quantization
9. Callan-Symanzik equation of renormalization group and β function
10. Some spectral properties of 2-point correlation functions
- Syllabus of tutorials:
-
Solving problems to illustrate the theory from the lecture
- Study Objective:
- Study materials:
-
Key references:
[1] M. Blasone, P. Jizba and G. Vitiello, Quantum Field Theory and its Macroscopic Manifestations, Boson Condensation, Ordered Patterns and Topological Defects, Imperial College Press, London, 2011
[2] H. Kleinert, Particles and Quantum Fields, World Scientific, London, 2017
Recommended references:
[3] E. Fradkin, Field Theories of Condensed Matter Physics, Cambridge University Press, New York, 2013
[4] A. Altland and B. Simons, Condensed Matter Field Theory, Cambridge University Press, Singapore, New York, 2013
- Note:
- Time-table for winter semester 2023/2024:
- Time-table is not available yet
- Time-table for summer semester 2023/2024:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Jaderná a částicová fyzika (compulsory course in the program)
- Matematická fyzika (compulsory course in the program)
- Kvantové technologie (compulsory course in the program)